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Finding the Fourth Proportional to 102,841.44, 141,923.43 and 72,679.98

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Solution

The fourth proportional to 102,841.44, 141,923.43 and 72,679.98 is: 100,299.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,841.44 : 141,923.43 = 72,679.98 : x
  2. Step 2: Convert to fraction form
    102,841.44/141,923.43 = 72,679.98/x
  3. Step 3: Cross multiply
    102,841.44x = 141,923.43 × 72,679.98
  4. Step 4: Simplify right side
    102,841.44x = 10,314,992,053.93
  5. Step 5: Solve for x
    x = 10,314,992,053.93/102,841.44
  6. Step 6: Final answer
    x = 100,299.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.